A line passes through #(3 ,4 )# and #(7 ,3 )#. A second line passes through #(8 ,8 )#. What is one other point that the second line may pass through if it is parallel to the first line?

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Answer 1 · 2018-04-01T08:57:36

Coordinates of the other point in the second line can have values

#(4,9), (12,7), (24,4) # and so on resulting in slope #m = -1/4#

Slope of a line is given by the formula #m = (y_2 - y_1) / (x_2 - x_1)#

For two lines to be parallel, their slopes must be equal.

Slope of first line # m = (3-4) / (7-3) = -1/4#

hence slope slope of second line is also # m = -1/4#

#:. m = -1/4 = (y_2 - 8) / (x_2 - 8)#

Coordinates of the other point in the second line can have values

#(4,9), (12,7), (24,4) # and so on.